Path Integral on Einstein Cartan Manifold

Question

In condensed matter, crystal with disclination and dislocation has both curvature and torsion. I am looking for a reference in which path integral quantization of Dirac equation on manifold with curvature and torsion was discussed.

This post imported from StackExchange Physics at 2014-03-30 15:49 (UCT), posted by SE-user Sobouti

Comments

I wasn't aware of the name "Einstein-Cartan manifold" but if it is common usage, surely it wouldn't simply mean a manifold with nonzero torsion, surely it would be a manifold arising from the EC theory itself?

This post imported from StackExchange Physics at 2014-03-30 15:49 (UCT), posted by SE-user WetSavannaAnimal aka Rod Vance